Question

a new radio station wants to know which type of music people in the area like the most. the station took a survey and displayed the results in a two-way frequency table. complete parts a and b. click the icon to view the survey results. a. if the radio station wants to mainly play two of the categories, which two categories would result in the most listeners? explain. choose the correct answer below a. alternative and rock would result in the most listeners. these two categories show the type that men like most and the type that women like most. b. rock and jazz would result in the most listeners. these two categories show the greatest totals of men and women in the total column c. country and pop would result in the most listeners. these two categories show the least totals of men and women in the total column. d. jazz and pop would result in the most listeners. these two categories show the average number of men and women in the total column.

Explanation:

To determine which two music categories give the most listeners, we analyze the logic of each option:

• Option A: If Alternative is the most - liked by men and Rock is the most - liked by women, combining these two categories (which are the top choices for each gender) would likely result in the highest total number of listeners, as we are capturing the most popular choices for both genders.
• Option B: Saying Rock and Jazz have the greatest totals in the total column is not a valid reasoning. We need to consider the popularity among both genders, not just a vague "greatest totals" without proper context related to gender - based preferences.
• Option C: "Least totals" would result in the least number of listeners, not the most, so this option is incorrect.
• Option D: "Average number" does not imply the highest number of listeners. To get the most listeners, we need the most - preferred categories, not average - preferred ones.

Answer:

A. Alternative and Rock would result in the most listeners. These two categories show the type that men like most and the type that women like most.